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Last updated on March 29th, 2025

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Multiples of 81

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Foundation
Intermediate
Advance Topics

In math, multiples are the products we get while multiplying a number with other numbers. Multiples play a key role in construction and design, counting groups of items, sharing resources equally, and managing time effectively. In this topic, we will learn the essential concepts of multiples of 81.

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What are the Multiples of 81?

Now, let us learn more about multiples of 81. Multiples of 81 are the numbers you get when you multiply 81 by any whole number, along with zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 81 can be denoted as 81 × n, where ‘n’ represents any whole number (0, 1, 2, 3,…). So, we can summarize that:

 

Multiple of a number = Number × Any whole number  


For example, multiplying 81 × 1 will give us 81 as the product. Multiples of 81 will be larger or equal to 81.

Multiples of 81
 

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List of First 20 Multiples of 81

Multiples of 81 include the products of 81 and an integer. Multiples of 81 are divisible by 81 evenly. The first few multiples of 81 are given below:

TABLE OF 81 (1-10)

81 x 1 = 81

81 x 6 = 486

81 x 2 = 162

81 x 7 = 567

81 x 3 = 243

81 x 8 = 648

81 x 4 = 324

81 x 9 = 729

81 x 5 = 405

81 x 10 = 810

TABLE OF 81 (11-20)

81 x 11 = 891

81 x 16 = 1296

81 x 12 = 972

81 x 17 = 1377

81 x 13 = 1053

81 x 18 = 1458

81 x 14 = 1134

81 x 19 = 1539

81 x 15 = 1215

81 x 20 = 1620

 

Now, we know the first few multiples of 81. They are 0, 81, 162, 243, 324, 405, 486, 567, 648, 729, 810,...

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Operations with Multiples of 81

Understanding the multiples of 81 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 81, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of First 5 Multiples of 81

81, 162, 243, 324, and 405 are the first five multiples of 81. When multiplying 81 from 1 to 5, we get these numbers as the products.  
So, the sum of these multiples is:  
81 + 162 + 243 + 324 + 405 = 1215  
When we add the first 5 multiples of 81, the answer will be 1215.

 

Subtraction of First 5 Multiples of 81

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 81, 162, 243, 324, and 405 are the first five multiples of 81. So, let us calculate it as given below:  
81 - 162 = -81  
-81 - 243 = -324  
-324 - 324 = -648  
-648 - 405 = -1053  
Hence, the result of subtracting the first 5 multiples of 81 is -1053.

 

Average of First 5 Multiples of 81

To calculate the average, we need to identify the sum of the first 5 multiples of 81, and then divide it by the count, i.e., 5. Because there are 5 multiples presented in the calculation. Averaging helps us to understand the concepts of central tendencies and other values. We know the sum of the first 5 multiples of 81 is 1215.  
81 + 162 + 243 + 324 + 405 = 1215  
Next, divide the sum by 5:  
1215 ÷ 5 = 243  
243 is the average of the first 5 multiples of 81.

 

Product of First 5 Multiples of 81

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 81 include: 81, 162, 243, 324, and 405. Now, the product of these numbers is:  
81 × 162 × 243 × 324 × 405 = 10,616,424,210  
The product of the first 5 multiples of 81 is 10,616,424,210.

 

Division of First 5 Multiples of 81

While we perform division, we get to know how many times 81 can fit into each of the given multiples. 81, 162, 243, 324, and 405 are the first 5 multiples of 81.  
81 ÷ 81 = 1  
162 ÷ 81 = 2  
243 ÷ 81 = 3  
324 ÷ 81 = 4  
405 ÷ 81 = 5  
The results of dividing the first 5 multiples of 81 are: 1, 2, 3, 4, and 5.

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Common Mistakes and How to Avoid Them in Multiples of 81While working with multiples of 81, we make common mistakes. Identifying these errors and understanding how to avoid them can be helpful. Below are some frequent mistakes and tips to avoid them:

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Multiples of 81 Examples

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Problem 1

In a small town, the community center holds a bingo night where every game has 81 participants. If they host bingo night 5 times a month, how many participants will there be over 3 months?

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Explanation

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Problem 2

At an art exhibition, a gallery displays sculptures in series of multiples of 81. The first series has 81 sculptures, the second has 162, and the third has 243. How many sculptures are there in total in these three series?

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Explanation

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Problem 3

A factory produces boxes in batches of 81. If the factory works for 7 days, producing one batch per day, how many boxes are produced in total?

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Explanation

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Problem 4

In a library, every section is organized to hold a collection of books in multiples of 81. The first section has 81 books, the second has 162 books, and the third section has 243 books. How many books are there in total in these three sections?

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Explanation

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Problem 5

For a large conference, organizers need to arrange chairs in rows of 81. If there are 6 rows, how many chairs are there in total?

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Explanation

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FAQs on Multiples of 81

1.How do you find the multiples of 81?

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2.What is the LCM of 7 and 81?

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3.What are the real-life applications of Multiples of 81?

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4.Are multiples of 81 finite or infinite?

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5.Is there any odd multiple of 81?

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Important Glossaries for Multiples of 81

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 81 include 81, 162, 243, 324, etc.

 

  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 81 are the numbers that consist of the number pattern of 81.

 

  • Odd number: An odd number refers to any number not divisible by 2. The last digits of odd numbers are 1, 3, 5, 7, or 9. Some multiples of 81 are odd numbers.

 

  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 3, 9, 27, and 81 are the divisors of 81.

 

  • Product: The result obtained by multiplying two or more numbers together. For example, the product of 81 and 2 is 162.
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